445128652800 has 2304 divisors, whose sum is σ = 1965474201600. Its totient is φ = 97674854400.

The previous prime is 445128652763. The next prime is 445128652819. The reversal of 445128652800 is 8256821544.

445128652800 is a `hidden beast` number, since 4 + 4 + 512 + 8 + 6 + 52 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9470822377 + ... + 9470822423.

It is an arithmetic number, because the mean of its divisors is an integer number (853070400).

Almost surely, 2^445128652800 is an apocalyptic number.

445128652800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445128652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982737100800).

445128652800 is an abundant number, since it is smaller than the sum of its proper divisors (1520345548800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445128652800 is a wasteful number, since it uses less digits than its factorization.

445128652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 445128652800 in words is "four hundred forty-five billion, one hundred twenty-eight million, six hundred fifty-two thousand, eight hundred".